b^2+16b+64

Question

b^2+16b+64

anonymous · Answer

Come on you should give it a try, but I'll give u a start. What multiplies to 64 and adds up to 16. 8 and 8.

anonymous · Answer

ok.. now what do I do?

jim_thompson5910 · Answer

replace 16b with 8b+8b to get 


b^2+8b+8b+64


then factor by grouping

anonymous · Answer

write the two b's that add up to 16 like 8b+8b in the middle of b^2 and 64. Then factor by grouping like we did before.

anonymous · Answer

do i do foil for this?

hero · Answer

Factoring is the opposite of Foiling

jim_thompson5910 · Answer

you're doing the opposite of foiling actually

anonymous · Answer

No, factor the first two terms separately and then do the same for the last two.

anonymous · Answer

This type of factoring is the opposite of FOIL:|dw:1319310330534:dw|Of course we don't usualy write the last step in the drawing above, but it illustrates that the factors of 64 (8 x 8) also add up to 16 (8+8).

So , to factor, we go FROM b^2+16b+64 TO (b+8)(b+8) which is usually written (b+8)^2